Score 0 of 1 pt 3 of 16 15 complete v 129 The measures of tw

Score: 0 of 1 pt 3 of 16 (15 complete) v 1.2.9 The measures of two angles of a triangle are given. Find the measure of the third angle. 257\', 144 10\' The measure of the third angle is (Simplify your answer. Type a whole number) Enter your answer in the edit fields and then click Check Answer All parts showing

Solution

1.2.9) we have given angles are 25⁰7\' ,144⁰10\'

Conversioning Degrees,minutes,seconds into decimal degrees

25⁰7\' 0\'\'=25.11667° and 144⁰10\'=144.1667°

In a triangle, the three interior angles always =180

25.11667° +144.1667°+x=180 implies x=180-169.28337=10.71663

Therefore The third angle measure is x=10⁰42\'

1.2.55) Let the tall of the building is x

We have given an angle of elevation is 60⁰ and shadow of the sun is 74ft

We get tan60⁰=opposite side/adjacent side=x/74

tan60⁰=x/74

x=74*tan60⁰=74*sqrt(3)=128.17 ft

The building tall is 128.17 ft